Cracking the problem with 33

Andrew R. Booker

doi:10.1007/s40993-019-0162-1

Cracking the problem with 33

Andrew R. Booker^*

^*Corresponding author for this work

Research output: Contribution to journal › Article (Academic Journal) › peer-review

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Abstract

Inspired by the Numberphile video “The uncracked problem with 33” by Browning and Brady Haran (https://youtu.be/wymmCdLdPvM), we investigate solutions to x³+ y³+ z³= k for a few small values of k. We find the first known solutions for k= 33 and k= 795.

Original language	English
Article number	26
Number of pages	6
Journal	Research in Number Theory
Volume	5
Issue number	3
Early online date	19 Jul 2019
DOIs	https://doi.org/10.1007/s40993-019-0162-1
Publication status	Published - 1 Sept 2019

Keywords

Diophantine equations
Hasse principle
Sums of three cubes

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title = "Cracking the problem with 33",

abstract = "Inspired by the Numberphile video “The uncracked problem with 33” by Browning and Brady Haran (https://youtu.be/wymmCdLdPvM), we investigate solutions to x3+ y3+ z3= k for a few small values of k. We find the first known solutions for k= 33 and k= 795.",

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AB - Inspired by the Numberphile video “The uncracked problem with 33” by Browning and Brady Haran (https://youtu.be/wymmCdLdPvM), we investigate solutions to x3+ y3+ z3= k for a few small values of k. We find the first known solutions for k= 33 and k= 795.

KW - Diophantine equations

KW - Hasse principle

KW - Sums of three cubes

UR - https://www.scopus.com/pages/publications/85069537718

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DO - 10.1007/s40993-019-0162-1

M3 - Article (Academic Journal)

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JO - Research in Number Theory

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ER -

Cracking the problem with 33

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